What is (-4x^{-2})(9x^9) ?

The solution to (-4x^{-2})(9x^9) is -36x^7

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simplify (-4x^{-2})(9x^9)

simplify

(- 4 x^{- 2}) (9 x^{9})

- 36 x^{7}

Solution steps

(- 4 x^{- 2}) (9 x^{9})

Apply rule:

(- a) = - a

(- 4 x^{- 2}) = - 4 x^{- 2}

= - 4 x^{- 2} \cdot 9 x^{9}

Multiply the numbers:

- 4 \cdot 9 = - 36

= - 36 x^{- 2} x^{9}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{- 2} x^{9} = x^{- 2 + 9}

= - 36 x^{- 2 + 9}

Add/Subtract the numbers:

- 2 + 9 = 7

= - 36 x^{7}

2 i + 2 i

\frac{x ^{- 4}}{x ^{- 7}}

\frac{2}{8} + \frac{4}{8}

- x (2 x + 9)

\frac{3 π}{4} + 3 π